This question is a technical question and  sounds like someone trying to prove a case of ownership either in a law court to clarify an argument or maybe a police report. If you must claim a wallet belongs to you then the first thing you can prove with that is is presenting your seed phrase or secret keys but if in a case there are two holders of the secret keys trying to claim ownership then it will need some extra efforts to do so.  I believe there are some remarkable events attached to an occurrence for which the real owner of the wallet must remember to explain, some events can lead you to explaining the process and how it began. In a situation where by two people are dragging ownership of a thing, I believe from mere explanatory you could tell who the owner really is. Looking at this, as a wallet related, the owner must have had some experience to some of the token on his or her wallet with some memorable occurrence which can not be easily forgotten.